A stationary object at 4° C and weighing 3.5 kg falls from a height 2000 m on a snow mountain at 0° C . If the temperature of the object just before hitting the snow is 0° C and the object before comes to rest immediately (g=10 text m/s2) and latent heat of ice =3.5× 105 J/s), then the object

Question

A stationary object at 4° C and weighing 3.5 kg falls from a height 2000 m on a snow mountain at 0° C . If the temperature of the object just before hitting the snow is 0° C and the object before comes to rest immediately (g=10 text m/s2) and latent heat of ice =3.5× 105 J/s), then the object (A) 2kg of ice (B) 200 g of ice (C) 20g ice (D) 2g ice

Tardigrade Admin · Accepted Answer

Law of conservation of energy is valid. Potential energy is the energy possesed by a body due. to its weight. It is given by

PE = m g h

where, m is mass, g acceleration due to gravity and h is height This potential energy is utilized in giving latent heat to ice

m L = m g h

Given

m = 3.5 k g, g = 10 m / s^{2}, h = 2000 m

L = 3.5 \times 10^{5} J / s

m = \frac{m g h}{L}

m = \frac{3.5 \times 10 \times 200}{3.5 \times 10 ^{5}}

m = 02

kg of ice
Also,

1 k g = 10^{3} g

m = 200 g

of ice

Q. A stationary object at 4∘C and weighing 3.5 kg falls from a height 2000 m on a snow mountain at 0∘C . If the temperature of the object just before hitting the snow is 0∘C and the object before comes to rest immediately (g=10m/s2) and latent heat of ice =3.5×105 J/s), then the object

2kg of ice

200 g of ice

20g ice

2g ice